137200700 has 72 divisors (see below), whose sum is σ = 366455712. Its totient is φ = 43418880.

The previous prime is 137200697. The next prime is 137200703. The reversal of 137200700 is 7002731.

It is an interprime number because it is at equal distance from previous prime (137200697) and next prime (137200703).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137200703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1562 + ... + 16638.

Almost surely, 2^137200700 is an apocalyptic number.

137200700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137200700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183227856).

137200700 is an abundant number, since it is smaller than the sum of its proper divisors (229255012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137200700 is a wasteful number, since it uses less digits than its factorization.

137200700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15111 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 137200700 is about 11713.2702521542. The cubic root of 137200700 is about 515.7652869585.

It can be divided in two parts, 137200 and 700, that multiplied together give a square (96040000 = 9800²).

The spelling of 137200700 in words is "one hundred thirty-seven million, two hundred thousand, seven hundred".